Question

20 points

When you find a point on a graph that you think is the intersection, the best way to double check your answer is to:

substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.


substitute in the x value to see if one of the y values of one of the equations matches the one you approximated from the graph.


substitute in the y value to see if one of the x values of one of the equations matches the one you approximated from the graph.


substitute in the x value to see if both of the x values of both of the equations match the one you approximated from the graph.

Answer 1

Answer: Substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.

Explanation:

I guess that we are working with systems of equations like:

y = f(x)

y = g(x)

Where an intersection is a solution that works for both equations, which means that the graphs will intersect each other in that point.

This means that for a given value x = x0, we must have:

f(x0) = g(x0).

Now, when you find a point that you think that is an intersection, you should substitute the x value in both functions, and see if the y-values coincide.

This will be equivalent to look if f(x) = g(x) for that particular value.

then the correct option is:

substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.